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SUDOKU #6 |
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| I'm going to repeat the info at the top of Sudoku #1, just in
case you haven't seen that one yet. |
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| I've been doing Sudoku
for a while. There are a lot of people
like me who have figured out some tricks or techniques that help them
complete the puzzles. This page is not
really for them. I met a woman
recently who was just starting to try to do Sudoku. This page is for people like her. I'm not saying that I know every single
trick, but I know enough to complete most puzzles. |
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| The basic rules of
Sudoku are that there is only one of each number in each row, column, and 9
square grid. There isn't any
mathematics or arithmetic. If you know
how to count from 1 to 9, then you can do these puzzles. All of the techniques are based on this
rule. |
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| Here is a sample Sudoku
puzzle. |
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3 |
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2 |
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9 |
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1 |
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3 |
1 |
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7 |
9 |
4 |
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6 |
5 |
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2 |
7 |
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7 |
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4 |
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9 |
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3 |
6 |
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3 |
7 |
9 |
4 |
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5 |
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7 |
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9 |
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3 |
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| This is a Medium
difficulty puzzle, and it will allow me to show some examples of a few of the
tricks that I've uncovered. I've added
the letters below to the rows and columns in order to talk about each of the
81 squares. As a convention, I will
talk about squares and boxes. There
are 81 squares, but there are 9 boxes of 9 squares. |
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A |
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3 |
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2 |
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B |
9 |
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1 |
2 |
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C |
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1 |
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7 |
9 |
4 |
5 |
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D |
6 |
5 |
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2 |
7 |
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E |
7 |
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4 |
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F |
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9 |
4 |
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3 |
6 |
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G |
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7 |
9 |
4 |
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2 |
5 |
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H |
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7 |
2 |
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9 |
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I |
2 |
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3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| Notice that there aren't
any 8s. There is a 2 in CK (because of
AR and BO), EK (because of CL and JI), and FM (because of DP, EK, BO,
HN). That finished the 2s. |
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A |
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3 |
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2 |
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B |
9 |
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1 |
2 |
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C |
3 |
1 |
2 |
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7 |
9 |
4 |
5 |
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D |
6 |
5 |
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2 |
7 |
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E |
7 |
2 |
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4 |
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F |
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9 |
4 |
2 |
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3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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2 |
5 |
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H |
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7 |
2 |
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9 |
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I |
2 |
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3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 9 in IL (because of
BJ, FK, GM, and HR). There has to be a
9 in either EP or EQ (because of HR and FK), so there has to be a 9 in DN
(because of EP/EQ, FK, CO, and GM). |
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A |
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3 |
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2 |
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B |
9 |
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1 |
2 |
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C |
3 |
1 |
2 |
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7 |
9 |
4 |
5 |
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D |
6 |
5 |
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9 |
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2 |
7 |
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E |
7 |
2 |
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4 |
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F |
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9 |
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2 |
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3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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2 |
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H |
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7 |
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9 |
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I |
2 |
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9 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| One of the numbers
missing from column R is a 3, but there can't be a 3 in IR (because IM), DR
(because of FQ), and CR (because of CJ), so the 3 has to be in BR. There is a 3 is in HP (because of GK, IM,
BR, and FQ), a 3 in EN (because of IM, AO, and FQ), and the final 3 is in DL
(because of FQ and EN). |
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A |
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3 |
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2 |
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B |
9 |
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1 |
2 |
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3 |
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C |
3 |
1 |
2 |
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7 |
9 |
4 |
5 |
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D |
6 |
5 |
3 |
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9 |
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2 |
7 |
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E |
7 |
2 |
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3 |
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4 |
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F |
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9 |
4 |
2 |
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3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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2 |
5 |
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H |
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7 |
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3 |
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9 |
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I |
2 |
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9 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 7 in IR
(because of CN and DQ), a 1 in DR (because of CK), and an 8 in CR. And there is a 6 in CM. |
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A |
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3 |
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2 |
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B |
9 |
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1 |
2 |
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3 |
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C |
3 |
1 |
2 |
6 |
7 |
9 |
4 |
5 |
8 |
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D |
6 |
5 |
3 |
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9 |
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2 |
7 |
1 |
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E |
7 |
2 |
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3 |
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4 |
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F |
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9 |
4 |
2 |
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3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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2 |
5 |
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H |
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7 |
2 |
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3 |
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9 |
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I |
2 |
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9 |
3 |
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7 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There has to be a 1 in
box GM-IO in column O (because of BN), so there has to be a 1 in EM (because
of DR). That means that there is a 1
in FJ and an 8 in EL, and there is another 1 in HL (because of FJ and CK). And there is an 8 in FP. |
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A |
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3 |
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2 |
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B |
9 |
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1 |
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3 |
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C |
3 |
1 |
2 |
6 |
7 |
9 |
4 |
5 |
8 |
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D |
6 |
5 |
3 |
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9 |
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2 |
7 |
1 |
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E |
7 |
2 |
8 |
1 |
3 |
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4 |
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F |
1 |
9 |
4 |
2 |
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8 |
3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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5 |
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H |
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7 |
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9 |
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I |
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9 |
3 |
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7 |
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J |
K |
L |
M |
N |
O |
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Q |
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| There is a 4 in either AM
or BM (because of BN), so there is a 4 in DO and an 8 in DM. That means there is an 8 in AN and another
one in BK (because of EL and AN). |
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A |
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8 |
3 |
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2 |
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B |
9 |
8 |
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1 |
2 |
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3 |
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C |
3 |
1 |
2 |
6 |
7 |
9 |
4 |
5 |
8 |
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D |
6 |
5 |
3 |
8 |
9 |
4 |
2 |
7 |
1 |
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E |
7 |
2 |
8 |
1 |
3 |
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4 |
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F |
1 |
9 |
4 |
2 |
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8 |
3 |
6 |
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G |
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3 |
7 |
9 |
4 |
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2 |
5 |
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H |
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1 |
7 |
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3 |
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9 |
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I |
2 |
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9 |
3 |
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7 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| The numbers missing from
column L are a 5 and 6, so the numbers in AJ and AK have to be a 4 and a
7. There is a 7 in EJ, so the 7 is in
AK and the 4 is in AJ. That means
there is a 4 in BM and a 5 in AM, which means that there is a 5 in BL and a 6
in AL. |
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A |
4 |
7 |
6 |
5 |
8 |
3 |
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B |
9 |
8 |
5 |
4 |
1 |
2 |
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3 |
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C |
3 |
1 |
2 |
6 |
7 |
9 |
4 |
5 |
8 |
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D |
6 |
5 |
3 |
8 |
9 |
4 |
2 |
7 |
1 |
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E |
7 |
2 |
8 |
1 |
3 |
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4 |
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F |
1 |
9 |
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8 |
3 |
6 |
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G |
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3 |
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H |
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9 |
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9 |
3 |
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7 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| There is a 7 in BP
(because of AK and DQ), a 6 in BQ. |
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A |
4 |
7 |
6 |
5 |
8 |
3 |
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2 |
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B |
9 |
8 |
5 |
4 |
1 |
2 |
7 |
6 |
3 |
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C |
3 |
1 |
2 |
6 |
7 |
9 |
4 |
5 |
8 |
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D |
6 |
5 |
3 |
8 |
9 |
4 |
2 |
7 |
1 |
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E |
7 |
2 |
8 |
1 |
3 |
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4 |
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F |
1 |
9 |
4 |
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8 |
3 |
6 |
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G |
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3 |
7 |
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4 |
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2 |
5 |
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H |
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9 |
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I |
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9 |
3 |
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7 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| There is a 5 in EP
(because of CQ), a 9 in EP, and a 6 in EO.
So there is a 9 in AP and a 1 in AQ. |
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A |
4 |
7 |
6 |
5 |
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